Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 423, Issue 1, Pages 41-59Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2014.09.076
Keywords
Korn inequality; Divergence equation; Poincare inequality; s-John domain; Quasihyperbolic metric
Categories
Funding
- NSFC [11301029]
- Fundamental Research Funds for Central Universities of China [2013YB60]
- SRF for ROCS, SEM
- Finnish National Graduate School in Mathematics and its Applications
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In this paper, we study the weighted Korn inequality on some irregular domains, e.g., s-John domains and domains satisfying quasihyperbolic boundary conditions. Examples regarding sharpness of the Korn inequality on these domains are presented. Moreover, we show that Korn inequalities imply certain Poincare inequality. (C) 2014 Elsevier Inc. All rights reserved.
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